Correlated disorder in the Kuramoto model: Effects on phase coherence, finite-size scaling, and dynamic fluctuations

摘要: We consider a mean-field model of coupled phase oscillators with quenched disorder in the natural frequencies and coupling strengths. A fraction p are positively coupled, attracting all others, while remaining 1−p negatively repelling others. The couplings deterministically chosen manner which correlates them, thereby correlating two types model. first explore effect this correlation on system's coherence. find that there is critical width γc frequency distribution below system spontaneously synchronizes. Moreover, independent p. Hence, our traditional Kuramoto (recovered when p = 1) have same γc. next behavior by examining finite-size scaling dynamic fluctuation order parameter. belongs to universality class as Kuram...